Best constants for metric space inversion inequalities |
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| Authors: | Stephen M Buckley Safia Hamza |
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| Institution: | 1213. Department of Mathematics and Statistics, National University of Ireland Maynooth, Maynooth, Co. Kildare, Ireland
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| Abstract: | For every metric space (X, d) and origin o ∈ X, we show the inequality I o (x, y) ≤ 2d o (x, y), where I o (x, y) = d(x, y)/d(x, o)d(y, o) is the metric space inversion semimetric, d o is a metric subordinate to I o , and x, y ∈ X \ {o} The constant 2 is best possible. |
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